Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample78.0ms (1.4%)

Algorithm

1×

intervals

Results

49.0ms	136×	body	1024	valid
10.0ms	46×	body	512	valid
6.0ms	12×	body	2048	valid
5.0ms	44×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify326.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

58.3b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_760`
52×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
30×	`log-prod_binary64_846`
25×	`add-cube-cbrt_binary64_795`
18×	`difference-of-squares_binary64_729`
13×	`distribute-lft-out_binary64_711`
9×	`distribute-lft-out--_binary64_712`
7×	`add-exp-log_binary64_798`
6×	`associate-/r*_binary64_704`
4×	`associate-/r/_binary64_706` `add-cbrt-cube_binary64_796` `associate-/l*_binary64_705`
3×	`pow1_binary64_821`
2×	`associate-/l/_binary64_707` `add-log-exp_binary64_799` `div-inv_binary64_757` `rem-log-exp_binary64_801` `div-exp_binary64_811` `flip--_binary64_735` `flip3--_binary64_764`
1×	`log-div_binary64_847` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `flip3-+_binary64_763` `flip-+_binary64_734` `log-pow_binary64_849` `clear-num_binary64_759`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series41.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
12.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5756	1898

prune120.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Error

0.0b

Counts

98 → 5

Compiler

Compiled 1797 to 1436 computations (20.1% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_782`
15×	`associate-l_binary64_701`
13×	`add-exp-log_binary64_798`
10×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `associate-r*_binary64_700`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728` `add-cbrt-cube_binary64_796`
6×	`prod-exp_binary64_809`
5×	`add-log-exp_binary64_799`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788`
3×	`pow1_binary64_821`
2×	`pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `flip3-+_binary64_763` `unpow3_binary64_826` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

3 → 67

Calls

3 calls:

6.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))

series144.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
31.0ms	(*.f64 2/5 (pow.f64 x 5))
24.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5097	898

prune92.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Error

0.0b

Counts

81 → 5

Compiler

Compiled 1739 to 1273 computations (26.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`*-un-lft-identity_binary64_760`
90×	`log-prod_binary64_846`
74×	`add-sqr-sqrt_binary64_782`
72×	`times-frac_binary64_766`
38×	`add-cube-cbrt_binary64_795`
24×	`difference-of-squares_binary64_729`
18×	`distribute-lft-out_binary64_711`
13×	`add-exp-log_binary64_798`
12×	`distribute-lft-out--_binary64_712`
8×	`pow1_binary64_821`
6×	`associate-/r/_binary64_706` `rem-log-exp_binary64_801`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `log-pow_binary64_849` `cbrt-prod_binary64_791`
3×	`log-div_binary64_847` `div-inv_binary64_757` `div-exp_binary64_811` `flip--_binary64_735` `flip3--_binary64_764`
1×	`pow1/3_binary64_842`

Counts

4 → 135

Calls

4 calls:

11.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

series143.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
28.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
26.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
26.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify80.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5000	3175

prune359.0ms (6.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	147	5	152

Error

0.0b

Counts

152 → 5

Compiler

Compiled 5806 to 4706 computations (18.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite64.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`*-un-lft-identity_binary64_760`
120×	`log-prod_binary64_846`
96×	`times-frac_binary64_766` `add-sqr-sqrt_binary64_782`
48×	`add-cube-cbrt_binary64_795`
32×	`difference-of-squares_binary64_729`
24×	`distribute-lft-out_binary64_711`
16×	`add-exp-log_binary64_798` `distribute-lft-out--_binary64_712`
8×	`associate-/r/_binary64_706` `rem-log-exp_binary64_801` `pow1_binary64_821`
4×	`log-div_binary64_847` `add-log-exp_binary64_799` `div-inv_binary64_757` `add-cbrt-cube_binary64_796` `log-pow_binary64_849` `div-exp_binary64_811` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 164

Calls

4 calls:

8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series107.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
27.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
26.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
26.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify111.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4820	3824
1	4820	3824

prune697.0ms (12.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	176	5	181

Error

0.0b

Counts

181 → 5

Compiler

Compiled 9260 to 7604 computations (17.9% saved)

regimes192.0ms (3.3%)

Accuracy

Total 0.2b remaining (96.4%)

Threshold costs 0.2b (96.4%)

Compiler

Compiled 2601 to 2236 computations (14% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample2.9s (50.5%)

Algorithm

1×

intervals

Results

1.4s	3920×	body	1024	valid
431.0ms	2046×	body	512	valid
217.0ms	412×	body	2048	valid
122.0ms	999×	body	256	valid
38.0ms	623×	body	128	valid

Compiler

Compiled 535 to 461 computations (13.8% saved)

Details

analyze5.0ms (0.1%)

sample78.0ms (1.4%)

simplify326.0ms (5.7%)

prune3.0ms (0.1%)

localize11.0ms (0.2%)

rewrite25.0ms (0.4%)

series41.0ms (0.7%)

simplify74.0ms (1.3%)

prune120.0ms (2.1%)

localize12.0ms (0.2%)

rewrite23.0ms (0.4%)

series144.0ms (2.5%)

simplify64.0ms (1.1%)

prune92.0ms (1.6%)

localize11.0ms (0.2%)

rewrite47.0ms (0.8%)

series143.0ms (2.5%)

simplify80.0ms (1.4%)

prune359.0ms (6.2%)

localize15.0ms (0.3%)

rewrite64.0ms (1.1%)

series107.0ms (1.9%)

simplify111.0ms (1.9%)

prune697.0ms (12.1%)

regimes192.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (50.5%)

Profiling